Answer:
17.32m ; 110°
Step-by-step explanation:
Distance between X and Z
To calculate the distance between X and Z
y^2 = x^2 + z^2 - (2xz)*cosY
x = 20, Z = 10
y^2 = 20^2 + 10^2 - (2*20*10)* cos60°
y^2 = 400 + 100 - (400)* 0.5
y^2 = 500 - 200
y^2 = 300
y = sqrt(300)
y = 17.32m
Bearing of Z from X:
Using cosine rule :
Cos X = (y^2 + z^2 - x^2) / 2yz
Cos X = (300 + 100 - 400) / (2 * 20 '*10)
Cos X = 0 / 400
Cos X = 0
X = cos^-1 (0)
X = 90°
Bearing of Z from X
= 20° + X
= 20° + 90°
= 110°
Answer:
Step-by-step explanation:
B=brackets
i= indices
D= division
M=multiplication
A= addition
S= subtraction
7x10000/5x100/6x1
7x10000=70000/500/6
70000/500=140/6= 23.33
Given:
A number when divided by 780 gives remainder 38.
To find:
The reminder that would be obtained by dividing same number by 26.
Solution:
According to Euclis' division algorithm,
...(i)
Where, q is quotient and
is the remainder.
It is given that a number when divided by 780 gives remainder 38.
Substituting
in (i), we get

So, given number is in the form of
, where q is an integer.
On dividing
by 26, we get




Since q is an integer, therefore (30q+1) is also an integer but
is not an integer. Here 26 is divisor and 12 is remainder.
Therefore, the required remainder is 12.
Answer:
C. 2.3 repeated
Step-by-step explanation:
1/3 doesn't equal a (what you could say is) regular decimal. It repeats because it does not evenly go into 10 or 100
Answer:
11) x = 45
12) x = 30
Step-by-step explanation:
11)
3x + x = 180
4x = 180
x = 45
12)
4x = 5x - 30
4x - 5x = -30
-x = -30
x = 30